Reduced fields

The Townsend unit of electric fields

In the context of electron and ion transport properties in gas mixtures, the electric field E is rarely used as such. Instead, one uses E/N since most transport properties scale in this quantity, rather than in E itself. In this expression, N stands for the number density.

In an ideal gas at T_0 = 0°C and p_0 = 1013.25 hPa, there are L = 2.6867775 10^19 molecules/cm3, a constant known as Loschmidt's number. For other temperatures and pressures, the number density N can be computed using the ideal gas law: N = p/p_0 T_0/T L. Chamber operation is usually done at temperatures of ~20°C and at atmospheric pressure. The number density under those conditions is 273.15/293.15 × L ~ 2.50 10^19 molecules/cm3.

Since common E fields are in the range of 100-100000 V/cm, E/N expressed in its native units of V.cm^2, would almost invariably have unwieldy exponents. Following a proposal by L.G.H. Huxley et al. [1], E/N is usually expressed using the Townsend unit, written "Td", which equals 10^-17 V.cm^2. Using this convention, 1 Td at usual chamber operation conditions equals about 250 V/cm.

The Huxley unit of magnetic fields

One occasionally comes across the Hx unit, which stands for "Huxley", the first author of the 1966 paper. This unit was introduced by T. Kunst et al. [2] to honour Huxley. It applies a similar scaling to magnetic fields: 1 Hx = 10^17 G.cm^3 such that under normal chamber conditions, 1 Hx equals about 250 G.

References

[1]
L.G.H. Huxley, R.W. Crompton and M.T. Elford, Use of the parameter E/N, Brit. J. Appl. Phys. 17 (1966) 1237-1238.
[2]
T. Kunst, B. Götz and B. Schmidt, Precision measurements of magnetic deflection angles and drift velocities in crossed electric and magnetic fields, NIM A 324 (1992) 127-140.

Last updated on 10/3/2006.